1981•IMA Journal of Applied MathematicsRequires access

Repeating Use of Integral Transforms—A New Method for Evaluation of Some Infinite Integrals

Alexander Apelblat

Abstract

A new method for evaluation of infinite integrals is proposed. The integrals are derived by applying the same or different integral transforms twice. The integral transforms of Laplace, Fourier, Mellin, Hankel, K, Y-Bessel, H-Struve, Stieltjes, generalized Stieltjes, Kantrovich and Lebedev were used. Using the proposed method, a number of new infinite integrals of elementary and special functions were derived.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Mathematics, Volume integral, Applied mathematics, Calculus (dental), Mathematical analysis, Integral equation, Medicine, Dentistry